lim(x趋向0)ex次方-e-x次方-2x|x-sinx等于?

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lim(x趋向0)ex次方-e-x次方-2x|x-sinx等于?

lim(x趋向0)ex次方-e-x次方-2x|x-sinx 洛必达法则
=lim(x->0)(e^x+e^(-x)-2)/(1-cosx)
=lim(x->0)(e^x-e^(-x))/(sinx)
=lim(x->0)(e^x+e^(-x))/(cosx)
=(1+1)/1
=2